Let ℒ be a bounded lattice and α : ℒ → ℒ be its automorphism. In this paper, we study zero-divisor graph of ℒ with respect to an automorphism α. It is a simple undirected graph and denoted by Γ_α(ℒ). Some combinatorial structures such as coloring, diameter and girth were given for Γ_α(ℒ).

中文翻译：

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格子自同构和零因子图

设 ℒ 为有界格，α  : ℒ → ℒ 为其自同构。在本文中，我们研究 ℒ 相对于自同构α的零除数图。它是一个简单的无向图，记为 Γ _α (ℒ)。给出了一些组合结构，例如颜色、直径和周长 γ _α (ℒ)。